2) We consider a perfect conductor nanotube as represented in the figure. We set the length...
5. A plane, linearly polarized light wave, with intensity, Io, is transmitted through a system of perfect linear polarizers (we assume that all light is transmitted in the transmission direction but in the perpendicular direction all light is absorbed). Give for the following systems of polarizers and transmission directions the total transmitted intensity: (angles are measured in the same direction and relatively to the polarization direction of the incident light) a) one at 90° angle b) two at the angles...
Constants SOLUTION SET UP (Figure 1) shows our sketch. The two currents have opposite directions, so, the forces are repulsive. Superconducting cables conduct current with no resistance. Consequently, it is possible to pass huge currents through the cables, which, in turn, can produce very large forces. Two straight, parallel SOLVE To find the force per unit length, we use (4rx10-7 N/A2)(15000A)2 2r(4.5 × 10--"m) R4011, cables 4.5 mm apart Fr (between centers) carry equal currents of 15000 A in opposite...
Problem 3.5 Consider the L-shaped beam illustrated in Figure 3.34. The beam is mounted to the wall at A, the arm AB extends in the z direction, and the arm BC extends in the x direction. A BE force E is applied in the z direction at the free-end of the beam. (a) If the lengths of arms AB and BC are a and b, respectively and the magnitude of the applied force is F, observe that the position vector...
Quantum Mechanics Thank you! 2 Casimir effect We will derive the Casimir effect in three dimensions, making use of the Euler- Maclaurin formula Ž 0,F(n) – [F(n)dn = 67\2F'O) + 30 x , F"(0) -... (1) JO n=0 where On = 1 for n > 0, 0 = 1/2, and on = 0 for n < 0. (You don't need to prove this formula.) Let us consider a square box with conducting walls of length L. Let El be the...
2 Node removal Consider the following specifications: Algorithm 1 Removes node vk from graph G represented as an adjacency matrix A Require: A E {0,1}"x", kEN, k<n Ensure: A' E {0,1)(n-1)×(1-1) 1: function NODEREMOVAL(A,k) 2: ... 3: return A 4: end function The function accepts an adjacency matrix A, which represents a graph G, and an integer k, and returns adjacency matrix A', representing graph G', that is the result of removing node the k-th node us from G. Question:...
i need help with 2b please is a set of input values, Y- 2. In this question, we reuse the notation of lecture 37: X-{xi, ,x , m-1) is a set of hash values, and H is an [X → Y)-valued random variable {0.1, In lecture, we showed that for any hash value y e Y, the expected number of input values that hash to y is k/m, where k XI and m Yl. However, in determining the time it...
In class, we considered a box with walls at \(x=0\) and \(x=L\). Now consider a box with width \(L\) but centered at \(x=0\), so that it extends from \(x=-L / 2\) to \(x=L / 2\) as shown in the figure. Note that this box is symmetric about \(x=0 .\) (a) Consider possible wave functions of the form \(\psi(x)=A \sin k x\). Apply the boundary conditions at the wall to obtain the allowed energy levels.(b) Another set of possible wave functions...
Consider a charge of +6×10^−7 C located at position (x=4,y=2,z=2)(x=4,y=2,z=2) m. We are asked to find the electric field at point P which is at (x=8,y=−2,z=4)(x=8,y=−2,z=4) m. What is the y-component of the electric field at point PP? Remember to give your answer in terms of N/C, and use k=9×10^9.
PARTS A, B, & C PLEASE! (10%) Problem 10: Consider the two charges in the figure, which are moving in opposite directions and located a distance 0.25 m on either side of the origin of the given coordinate system. Charge one is 0.75 C and is moving at a speed 15.5 x 10° m/s, and charge two is 7.5 C and is moving at a speed of 1.5 x 100 m/s. Notice that the positive z-direction in this figure is...
TSD.1 In this problem, we will see (in outline) how we can calculate the multiplicity of a monatomic ideal gas This derivation involves concepts presented in chapter 17 Note that the task is to count the number of microstates that are compatible with a given gas macrostate, which we describe by specifying the gas's total energy u (within a tiny range of width dlu), the gas's volume V and the num- ber of molecules N in the gas. We will...